一类弹性系统的精确L^2-能控性  

Exact L^2-Controllability of an Elastic System

作　　者：章春国[1] 游成涛[1] 

机构地区：[1]杭州电子科技大学数学系,浙江杭州310018

出　　处：《应用数学》2009年第3期651-655,共5页Mathematica Applicata

基　　金：国家自然科学基金资助项目(10501039)

摘　　要：该文研究带有压电驱动器的Rayleigh梁系统的精确能控性.先用算子半群方法和提升结果[9]建立了Rayleigh梁方程解的正则性;再用Hilbert唯一性方法结合Diophantine逼近理论的某些结果得到了系统的精确L2-能控性.In this paper,it is investigated that the exact controllability of a Rayleigh system with a piezoelectric actuator.First,it is established that the regularity of the solution of the Rayleigh beam equation via the method of linear operator semigroup and lifting result[9].Then,it is showed that exact L2-controllability for the system by applying the Hilbert uniqueness method combined with some results from the theory of Diophantine approximate.

关 键 词：Rayleigh梁方程 压电驱动器 精确能控性 Hilbert唯一性方法 Diophan-tine逼近理论 

分 类 号：O175[理学—数学]